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Finding the Third Proportional to 924,911 and 2,017,893

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Solution

The third proportional to 924,911 and 2,017,893 is: 4,402,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,911 : 2,017,893 = 2,017,893 : x
  2. Step 2: Convert to fraction form
    924,911/2,017,893 = 2,017,893/x
  3. Step 3: Cross multiply
    924,911x = 2,017,893 × 2,017,893
  4. Step 4: Simplify right side
    924,911x = 4,071,892,159,449
  5. Step 5: Solve for x
    x = 4,071,892,159,449/924,911
  6. Step 6: Final answer
    x = 4,402,469.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.